{
  "id": "2411.07434",
  "version": "v1",
  "published": "2024-11-11T23:26:59.000Z",
  "updated": "2024-11-11T23:26:59.000Z",
  "title": "Stable determination of the first order perturbation of the biharmonic operator from partial data",
  "authors": [
    "Boya Liu",
    "Salem Selim"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "We consider an inverse boundary value problem for the biharmonic operator with the first order perturbation in a bounded domain of dimension three or higher. Assuming that the first and the zeroth order perturbations are known in a neighborhood of the boundary, we establish log-type stability estimates for these perturbations from a partial Dirichlet-to-Neumann map. Specifically, measurements are taken only on an arbitrarily small open subsets of the boundary.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-11-11T23:26:59.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35R30",
      "35J40"
    ],
    "keywords": [
      "first order perturbation",
      "biharmonic operator",
      "partial data",
      "stable determination",
      "inverse boundary value problem"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}